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Ivan
3 years ago
10

Please answer the attached question and chose from the provided options.

Mathematics
1 answer:
Marat540 [252]3 years ago
6 0

Answer:

Option A -\frac{19}{74}+\frac{71}{74}i

Step-by-step explanation:

we know that

To divide complex numbers, you must multiply by the conjugate.

we have

\frac{-8+3i}{5+7i}

To find the conjugate, change the sign between the two terms in the denominator

so

\frac{-8+3i}{5+7i}(\frac{5-7i}{5-7i})=\frac{-40+56i+15i-21i^{2}}{25-49i^{2}} \\\\=\frac{-40+71i-21(-1)}{25-49(-1)} \\\\=\frac{-19+71i}{74}\\\\=-\frac{19}{74}+\frac{71}{74}i

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The answer would be you can’t simplify the first one but the second would be 15 square root 5

Hope this helps

Have a great day/night

Feel free to ask any questions
5 0
2 years ago
What is the percent change if the student population of the school goes from 380 students to 335 students? Round to the nearest
lys-0071 [83]

Answer:

12% decrease

Step-by-step explanation:

I'm srry if I'm wrong but I'm 90-ish% its correct

6 0
3 years ago
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DIA [1.3K]

Answer:

Graph 2.

Step-by-step explanation:

The graph is decreasing.

Hope this helps!

If not, I am sorry.

6 0
2 years ago
Match the equation with the step needed to solve it.
ziro4ka [17]

To solve this, you need to isolate/get the variable "m" by itself in the equation:

1. 2m - 1 = 3m    Subtract 2m on both sides to get "m" on one side of the equation

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2. 2m = 1 + m     Subtract m on both sides to get "m" on one side of the equation

2m - m = 1 + m - m

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3. m - 1 = 2       Add 1 on both sides to get "m" by itself

m - 1 + 1 = 2 + 1

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4. 2 + m = 3   Subtract 2 on both sides to get "m" by itself

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8 0
3 years ago
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Radda [10]

Answer:

<u>The volume of the cone is 1,102.7 feet³ (cubic)</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Radius = 9 feet

Height = 13 feet

2. What is the exact volume of the cone?

We will use the following formula to calculate the volume of the cone:

Volume of the cone = π * Radius² * Height/3

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6 0
2 years ago
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